TSTP Solution File: GEO178+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO178+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 06:14:32 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   1 nHn;  10 RR)
%            Number of literals    :   16 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(X,line_connecting(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).

cnf(8,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).

cnf(12,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_points(X,Z)
    | apart_point_and_line(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).

cnf(15,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(16,negated_conjecture,
    apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ( ~ distinct_points('SKOLEMAAAV3','SKOLEMAAAV1')
    | ~ distinct_points('SKOLEMAAAV3','SKOLEMAAAV2') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(18,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,15]) ).

cnf(19,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,15]) ).

cnf(26,plain,
    distinct_points('SKOLEMAAAV3','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[12,18,16]) ).

cnf(27,plain,
    ~ distinct_points('SKOLEMAAAV3','SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[17,26]) ).

cnf(29,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,27,16]),19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO178+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 21:54:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T21:54:38
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-17T21:54:38
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        44 formulas have been input or derived (from 21 formulas).
% 0.19/0.50  ;        29 (66%) were retained.  Of these,
% 0.19/0.50  ;            1 ( 3%) were simplified or subsumed later,
% 0.19/0.50  ;           28 (97%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.004  13%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (15 calls)
% 0.19/0.50  ;     0.002   6%   Process new row              (43 calls)
% 0.19/0.50  ;     0.001   3%   Resolution                   (40 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (20 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (16 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (16 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (15 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (43 calls)
% 0.19/0.50  ;     0.001   3%   Backward simplification      (29 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (4 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.022  71%   Other
% 0.19/0.50  ;     0.031        Total
% 0.19/0.50  ;     0.033        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 43 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 14 entries (15 at peak, 15 added, 1 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 37 nodes (43 at peak, 43 added, 6 deleted).
% 0.19/0.50  ;  Retrieved 3 possibly forward subsuming rows in 16 calls.
% 0.19/0.50  ;  Retrieved 2 possibly backward subsumed rows in 15 calls.
% 0.19/0.50  ; Path-index has 46 entries (46 at peak, 47 added, 1 deleted).
% 0.19/0.50  ; Path-index has 66 nodes (66 at peak, 66 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 46 entries (46 at peak, 47 added, 1 deleted).
% 0.19/0.50  ; Trie-index has 67 nodes (67 at peak, 68 added, 1 deleted).
% 0.19/0.50  ; Retrieved 47 generalization terms in 53 calls.
% 0.19/0.50  ; Retrieved 13 instance terms in 13 calls.
% 0.19/0.50  ; Retrieved 443 unifiable terms in 142 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to give has 8 entries:
% 0.19/0.50  ;     1 with value (4 5)           1 with value (4 8)            2 with value (4 12)
% 0.19/0.50  ;     1 with value (4 6)           3 with value (4 9)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.034 seconds of real time
% 0.19/0.50    0.033418 seconds of user run time
% 0.19/0.50    2.41e-4 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,141,576 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T21:54:38
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------